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Finding the Fourth Proportional to 251.86, 347.57 and 164.68

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Solution

The fourth proportional to 251.86, 347.57 and 164.68 is: 227.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.86 : 347.57 = 164.68 : x
  2. Step 2: Convert to fraction form
    251.86/347.57 = 164.68/x
  3. Step 3: Cross multiply
    251.86x = 347.57 × 164.68
  4. Step 4: Simplify right side
    251.86x = 57,238.24
  5. Step 5: Solve for x
    x = 57,238.24/251.86
  6. Step 6: Final answer
    x = 227.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.